Answer:
Number of courses would best be considered a discrete variable and drive time would be considered a continuous variable.
Step-by-step explanation:
Discrete variable:
Countable amounts(0, 1, 2, 3,...)
Continuous variables:
Can be decimal values.
In this question:
The number of courses is a countable amount(0,1,2,3,...), you cant take half a course, for example, so it is discrete. Otherwise, drive time accepts half minutes, for example, 10.5 minutes, so is continuous.
Number of courses would best be considered a discrete variable and drive time would be considered a continuous variable.
Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
Answer:
9 units
Step-by-step explanation:
The complete question in the attached figure
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
substitute the given values
solve for MV
Multiply in cross
Step-by-step explanation:
Line AB = sqrt18 = 4.24
Line BC = sqrt10 = 3.16
Line AC = 4
Since the triangle cannot be isosceles or equilateral, the best option here is scalene.
Answer:
226 books are due
Step-by-step explanation:
650 divided by 3 equals 216
710 divided by 3 equals 236
216+236=452
452 divided by 2 equals 226
